Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...) At the time of the first edition, 1920, the editor was apparently not acquainted with the secondary literature on Logica demonstrativa which continued to grow in the period preceding the second edition \ref[see D. J. Struik, in Dictionary of scientific biography, Vol. 12, 55--57, Scribner's, New York, 1975]. Of special interest in this connection is a series of three articles by A. F. Emch [Scripta Math. 3 (1935), 51--60; Zbl 10, 386; ibid. 3 (1935), 143--152; Zbl 11, 193; ibid. 3 (1935), 221--333; Zbl 12, 98]. (2) It seems curious that modern writers believe that demonstration of the "nondeducibility" of the parallel postulate vindicates Euclid whereas at first Saccheri seems to have thought that demonstration of its "deducibility" is what would vindicate Euclid. Saccheri is perfectly clear in his commitment to the ancient (and now discredited) view that it is wrong to take as an "axiom" a proposition which is not a "primal verity", which is not "known through itself". So it would seem that Saccheri should think that he was convicting Euclid of error by deducing the parallel postulate. The resolution of this confusion is that Saccheri thought that he had proved, not merely that the parallel postulate was true, but that it was a "primal verity" and, thus, that Euclid was correct in taking it as an "axiom". As implausible as this claim about Saccheri may seem, the passage on p. 237, lines 3--15, seems to admit of no other interpretation. Indeed, Emch takes it this way. (3) As has been noted by many others, Saccheri was fascinated, if not obsessed, by what may be called "reflexive indirect deductions", indirect deductions which show that a conclusion follows from given premises by a chain of reasoning beginning with the given premises augmented by the denial of the desired conclusion and ending with the conclusion itself. It is obvious, of course, that this is simply a species of ordinary indirect deduction; a conclusion follows from given premises if a contradiction is deducible from those given premises augmented by the denial of the conclusion---and it is immaterial whether the contradiction involves one of the premises, the denial of the conclusion, or even, as often happens, intermediate propositions distinct from the given premises and the denial of the conclusion. Saccheri seemed to think that a proposition proved in this way was deduced from its own denial and, thus, that its denial was self-contradictory (p. 207). Inference from this mistake to the idea that propositions proved in this way are "primal verities" would involve yet another confusion. The reviewer gratefully acknowledges extensive communication with his former doctoral students J. Gasser and M. Scanlan. ADDED 14 March 14, 2015: (1) Wikipedia reports that many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid, a fact ignored in most Western sources until recently. It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. (2) This book is another exemplification of the huge difference between indirect deduction and indirect reduction. Indirect deduction requires making an assumption that is inconsistent with the premises previously adopted. This means that the reasoner must perform a certain mental act of assuming a certain proposition. It case the premises are all known truths, indirect deduction—which would then be indirect proof—requires the reasoner to assume a falsehood. This fact has been noted by several prominent mathematicians including Hardy, Hilbert, and Tarski. Indirect reduction requires no new assumption. Indirect reduction is simply a transformation of an argument in one form into another argument in a different form. In an indirect reduction one proposition in the old premise set is replaced by the contradictory opposite of the old conclusion and the new conclusion becomes the contradictory opposite of the replaced premise. Roughly and schematically, P,Q/R becomes P,~R/~Q or ~R, Q/~P. Saccheri’s work involved indirect deduction not indirect reduction. (3) The distinction between indirect deduction and indirect reduction has largely slipped through the cracks, the cracks between medieval-oriented logic and modern-oriented logic. The medievalists have a heavy investment in reduction and, though they have heard of deduction, they think that deduction is a form of reduction, or vice versa, or in some cases they think that the word ‘deduction’ is the modern way of referring to reduction. The modernists have no interest in reduction, i.e. in the process of transforming one argument into another having exactly the same number of premises. Modern logicians, like Aristotle, are concerned with deducing a single proposition from a set of propositions. Some focus on deducing a single proposition from the null set—something difficult to relate to reduction. (shrink)

I argue that Plato believes that the soul must be both the principle of motion and the subject of cognition because it moves things specifically by means of its thoughts. I begin by arguing that the soul moves things by means of such acts as examination and deliberation, and that this view is developed in response to Anaxagoras. I then argue that every kind of soul enjoys a kind of cognition, with even plant souls having a form of Aristotelian discrimination (...) (krisis), and that there is therefore no completely unintelligent, evil soul in the cosmos that can explain disorderly motions; as a result, the soul is not the principle of all motion but only motion in the cosmos after it has been ordered by the Demiurge. (shrink)

In this article, I argue that online echo chambers are in some cases and in some respects good. I do not attempt to refute arguments that they are harmful, but I argue that they are sometimes beneficial. In the first section, I argue that it is sometimes good to be insulated from views with which one disagrees. In the second section, I argue that the software-design principles that give rise to online echo chambers have a lot to recommend them. Further, (...) the opposing principle, serendipity, could give rise to serious harm, in light of the conclusion of the first section that sometimes we are better off being insulated from some content online. In the third section, I argue that polarization can be a useful tool for inculcating the appropriate attitudes in a person. (shrink)

I argue that, according to Plato, the body is the sole cause of psychic disorders. This view is expressed at Timaeus 86b in an ambiguous sentence that has been widely misunderstood by translators and commentators. The goal of this article is to offer a new understanding of Plato’s text and view. In the first section, I argue that although the body is the result of the gods’ best efforts, their sub-optimal materials meant that the soul is constantly vulnerable to the (...) body’s influences. In the second section, I argue that every psychic disorder is a disruption of the motions of the inner psychic circles by the body; moreover, I defend my translation of 86b. In the final section, I argue that the goal of education is to restore the circles to their original orbits, and I disarm a possible objection that bad education is also a cause of psychic disorder. (shrink)

This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example: (π): “The probability of the sentence labelled π is not greater than 1/2.” Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is (...) the case or not. The motivating interpretation of probability as an agent's degrees of belief will be focused on throughout the thesis. -/- This thesis aims to answer two questions relevant to such frameworks, which correspond to the two parts of the thesis: “How can one develop a formal semantics for this framework?” and “What rational constraints are there on an agent once such expressive frameworks are considered?”. (shrink)

This article concerns the place of Plato’s eschatology in his philosophy. I argue that the theory of reincarnation appeals to Plato due to its power to explain how non-human animals came to be. Further, the outlines of this theory are entailed by other commitments, such as that embodiment disrupts psychic functioning, that virtue is always rewarded and vice punished, and that the soul is immortal. I conclude by arguing that Plato develops a view of reincarnation as the chief tool that (...) the gods have to ensure that virtue is victorious over vice throughout the whole cosmos. (shrink)

This article is featured in a special issue dedicated to theme, "the human being in the digital era: awareness, critical thinking and political space in the age of the internet and artificial intelligence." In this article, I consider the way that social-media companies nudge us to spend more time on their platforms, and I argue that, in principle, these nudges are morally permissible: they are not manipulative and do not violate any obvious moral rules. The moral problem, I argue, is (...) not with nudging in principle but is instead with the fact that users are being nudged towards something bad for them. In practice, this often involves being nudged to spend an unhealthy amount of time using a social-media app or being nudged towards content that is bad for us, such as by promoting eating-disorder content to young girls. Since nudging is morally permissible, it is open to these companies to use the same technologies to nudge us towards the good. (shrink)

I argue that Plato thinks that the soul has location, surface, depth, and extension, and that the Timaeus’ composition of the soul out of eight circles is intended literally. A novel contribution is the development of an account of corporeality that denies the entailment that the soul is corporeal. I conclude by examining Aristotle’s objection to the Timaeus’ psychology and then the intellectual history of this reading of Plato.

This paper concerns Plato’s characterization of the body as the soul’s tool. I take perception as an example of the body’s usefulness. I explore the Timaeus’ view that perception provides us with models of orderliness. Then, I argue that perception of confusing sensible objects is necessary for our cognitive development too. Lastly, I consider the instrumentality relationship more generally and its place in Plato’s teleological worldview.

With an eye on the future of global ethics, I argue that social-media technologies are not morally neutral tools but are, for all intents and purposes, a kind of agent. They nudge us to do things that are bad for us. Moreover, I argue that we have a duty to quit using social-media platforms, not just on account of possible duties to preserve our own well-being but because users are akin to test subjects on whom developers are testing new nudges, (...) and we ought to deprive them of their test subjects. (shrink)

In this article, I approach some phenomena seen predominantly on social-media sites that are grouped together as cancel culture with guidance from two major themes in Plato’s thought. In the first section, I argue that shame can play a constructive and valuable role in a person’s improvement, just as we see Socrates throughout Plato’s dialogues use shame to help his interlocutors improve. This insight can help us understand the value of shaming people online for, among other things, their morally reprehensible (...) views. In the second section, I argue that it is required for the proper functioning of democratic institutions that some views be excluded from the public sphere, which follows some Platonic ideas from the Laws. In neither case do I argue that this approach is good in an unqualified sense or even ultima facie good. However, I maintain that these important insights from Plato’s dialogues illuminate crucial aspects of how we should think about cancel culture. (shrink)

In this article, I make the case for the continued relevance of Plato’s Timaeus. I begin by sketching Allan Bloom’s picture of the natural sciences today in The Closing of the American Mind, according to which the natural sciences are, objectionably, increasingly specialized and have ejected humans qua humans from their purview. I argue that Plato’s Timaeus, despite the falsity of virtually all of its scientific claims, provides a model for how we can pursue scientific questions in a comprehensive way (...) that stresses their connections to other disciplines, including the humanities, and that puts humanity qua humanity back in the picture. I then argue that being led by Plato’s philosophy to return humanity conceptually to the natural world can improve our thinking regarding climate change and other important environmental crises. (shrink)

To 'consequentialise' is to take a putatively non-consequentialist moral theory and show that it is actually just another form of consequentialism. Some have speculated that every moral theory can be consequentialised. If this were so, then consequentialism would be empty; it would have no substantive content. As I argue here, however, this is not so. Beginning with the core consequentialist commitment to 'maximising the good', I formulate a precise definition of consequentialism and demonstrate that, given this definition, several sorts of (...) moral theory resist consequentialisation. My strategy is to decompose consequentialism into three conditions, which I call 'agent neutrality', 'no moral dilemmas', and 'dominance', and then to exhibit some moral theories which violate each of these. (shrink)

Katz denies that organisms created in a lab as part of a de-extinction attempt will be authentic members of the extinct species, on the basis that they will lack the original species’ defining biological and evolutionary history. Against Katz, I note that an evolutionary lineage is conferred on an organism through its inheriting genes from forebears already possessed of such a lineage, and that de-extinction amounts to a delayed, human-assisted reproductive process, in which genes are inherited from forebears long dead. (...) My conclusion is that de-extinct organisms can perfectly well have an ancient evolutionary history, contrary to what Katz claims. (shrink)

Here I will put forward a claim about rhythm – that rhythm is relation. To develop this I will explore the entanglement of and antagonism between two notions of the musical avant-garde and its theorization. The first of these is derived from the European classical tradition, the second concerns Afrodiasporic musical practices. This essay comes in two parts. The first will consider some music-theoretical and philosophical ideas about rhythm in the post-classical avant-garde. Here I will explore how these ideas have (...) been used to, on one hand, stage a critique of Afrodiasporic musics, and specifically jazz, and, on the other hand, diminish and obscure the relation between the post-classical and Afrodiasporic avant-gardes. In the second part I will develop another lineage of rhythm, orthogonal to that of the post-classical avant-garde. Drawing from philosophy and Afrocentric, Afromodernist and, finally, Afrofuturist theory, I will map a theoretical move from rhythm understood, in its post-classical guise, as an exclusive and strictly musical category, to rhythm understood as an inclusive and plural category. This likewise charts a passage from an aesthetically autonomous understanding of objects of art to social and collective forms of artistic practice. (shrink)

Can the theory that reality is a simulation be tested? We investigate this question based on the assumption that if the system performing the simulation is nite (i.e. has limited resources), then to achieve low computational complexity, such a system would, as in a video game, render content (reality) only at the moment that information becomes available for observation by a player and not at the moment of detection by a machine (that would be part of the simulation and whose (...) detection would also be part of the internal computation performed by the Virtual Reality server before rendering content to the player). Guided by this principle we describe conceptual wave/particle duality experiments aimed at testing the simulation theory. (shrink)

In what follows I offer some reflections on an ethics of listening, or perhaps more generally a philosophy of listening, that can be discerned in different forms in the experimental music that, since the 1950s, has challenged and radicalised how music is understood. I situate these reflections around three of my own concert experiences as an audience member.

I argue that Plato thinks that a sunaition is a mere tool used by a soul (or by the cosmic nous) to promote an intended outcome. In the first section, I develop the connection between sunaitia and Plato’s teleology. In the second section, I argue that sunaitia belong to Plato’s theory of the soul as a self-mover: specifically, they are those things that are set in motion by the soul in the service of some goal. I also argue against several (...) popular and long-standing interpretations, namely, that sunaitia correspond to Aristotle’s idea of hypothetical necessity, that sunaitia are the ‘how’ in an explanation (whereas the true cause is the ‘why’), and that Plato’s causal views should be read through Aristotle’s fourfold schema. I conclude the article by surveying the history of sunaitia after Plato’s usage. (shrink)

Where does agency lie in musical performance? How is it expressed? Recent music scholarship has highlighted an increasingly prominent tendency to conceive of agency as not confined to any one individual or type of individual, instead being distributed across diverse individuals that can be found occupying performance situations. . This article uses two ‘percussion’ works from the 1970s by the composer John Cage, Child of Tree (1975) and its multi-performer elaboration Branches (1976), as a foil for engaging with these practical (...) and theoretical musical concerns, and for suggesting some heretofore underappreciated distinctions within the ongoing work on multi-agential performance. (shrink)

This article reconstructs Gilles Deleuze’s engagement with phenomenology, and with the phenomenological problematic of sensation, in his Francis Bacon: The Logic of Sensation. Considering Deleuze’s adoption, from the phenomenology of art, of notions of sensation and rhythm, it examines how Deleuze complexifies these phenomenological notions by aligning them with his profoundly non-phenomenological notion of the body without organs, as well as with the concepts of modulation and the diagram. In mapping Deleuze’s complexification of rhythm and his development of a logic (...) of rhythmic modulation, this article shows how Deleuze immanently refines an approach to working beyond phenomenology, through phenomenology. (shrink)

What kind of technology is the piano? It was once a distinctly everyday technology. In the bourgeois home of the nineteenth century it became an emblematic figure of gendered social life, its role shifting between visually pleasing piece of furniture, source of light entertainment, and expression of cultured upbringing. It performed this role unobtrusively, acting as a transparent mediator of social relations. To the composer of concert music it was, and sometimes still is, says Samuel Wilson, like the philosopher’s table: (...) “an assumed background on which one writes.” Like other instruments standard to Western art music, the piano was designed to facilitate the production of a consistent and refined timbre. More than most other such instruments, the piano also facilitated a kind of sonic neutrality. With its wide pitch range and smoothing of the percussive attack of its predecessor instruments, the piano presented composers with a technological means of approaching composition from a seemingly objective vantage point. It exemplified, in Heideggerian terms, the instrumentality of the instrument, serving as a mediator between idea and expression that apparently adds no character of its own. -/- This notion of the invisibility, or transparency, of the mediations that musical technologies such as the piano enact is one of my areas of concern here. So too is its inverse: when these mediations become visible or opaque. Transparency has been a topic of significant recent theoretical attention. Stefanos Geroulanos, for example, has detailed how the supposed transparency of intersubjective, epistemological, and social relations was a major point of critique in postwar French thought, where the supposition of transparency was taken to suppress how the world was “complex, layered, structured, filled with heterogeneity” – and, as I will stress here, contingency. The thinkers Geroulanos considers, from Jean-Paul Sartre through to Jean-François Lyotard, can be said to be united in their refusal to invisibilise mediatedness. From a starting point of conceiving of the piano as a technological artifact, and in particular from John Cage’s ‘prepared piano,’ I will explore how a similar concern has appeared in musical contexts, albeit not without the risk of reversion back into a logic of transparency. (shrink)

In this essay we will take the American experimental composer John Cage’s understanding of sound as the starting point for an evaluation of that term in the field of sound studies. Drawing together two of the most influential figures in the field, Cage’s thought and work will serve as a lens through which to engage with recent debate concerning the uptake in sound studies of the philosophy of Gilles Deleuze. In so doing we will attempt to develop a path between (...) conflicting sides of sound studies, putting forward an understanding of sound that presents it not as an uninterrogated ontological essence, nor as only a term in a discursive web, but as a problem which must be repeatedly posed anew. We will consider points where this may yet be pushed towards a reified, essentialized understanding of the nature of sound, but move to offset this by emphasizing the production of a practical process of learning and experimentation. (shrink)

This article evaluates the theoretical and practical grounds of recent debates around Christoph Cox’s realist project of a ‘sonic materialism’ by returning to Gilles Deleuze, a key theoretical resource for Cox. It argues that a close engagement with Deleuze’s work in fact challenges many of the precepts of Cox’s sonic materialism, and suggests a rethinking of materialism in the context of music. Turning to some aspects of Deleuze’s work neglected by Cox, the ‘realist’ ontological inquiry Cox affirms is challenged through (...) the ‘onto-ethology’ that Deleuze and Félix Guattari develop in their A Thousand Plateaus, with this diversely constructive theory of relations explicated through musical examples from John Cage and Pauline Oliveros. To conclude, this article suggests that Deleuze can indeed be understood as subscribing to a materialism, but a materialism that is practical rather than doctrinal. (shrink)

This paper considers the role of myth and phenomenology in Pierre Schaeffer’s research into music and sound, and argues that engagement with these themes allows us to rethink the legacy and contemporary value of Schaeffer’s thought in sound studies. In light of critique of Schaeffer’s project, in particular that developed by Brian Kane and Schaeffer’s own apparent self-disavowal, this paper returns to Schaeffer’s early remarks on the “myth of the seashell” in order to examine the conditions of this critique. While (...) Kane argues that Schaeffer’s recourse to myth, coupled with his adoption of Husserlian phenomenology, leads to a closure of his inquiry and a failure to accommodate the contingency of his position, this paper argues that Schaeffer’s myth of the seashell brings into focus an open-ended, motivating phenomenological problem concerning subjectivity and objectivity that runs through his thought. Drawing on the philosophical work of Gaston Bachelard and Gilles Deleuze, this paper considers the epistemological significance of this moment in Schaeffer’s thought, suggesting a “problematic” account of the myth of the seashell that puts Schaeffer into conversation with contemporary work in epistemology. (shrink)

In this paper I consider Kendall Walton’s provocative views on the visual arts, including his approaches to understanding both figurative and nonfigurative painting. I introduce his central notion of fictionality, illustrating its advantages in explaining the phenomenon of ‘perceptual twofoldness’. I argue that Walton’s position treats abstract artwork reductively, and I outline two essential components of our aesthetic encounters with the nonfigurative that Walton excludes. I then offer some criticisms of his commitment to photographic realism, emphasising its theoretical inconsistencies with (...) his account of representation. My own proposal is that in our apprehension of non-figurative artworks, our attention is drawn to the underlying structures of both emotive and perceptual experience. In this way, paintings, particularly abstract ones, disclose human cognition in a manner that makes fictionality an inappropriate tool for their analysis. (shrink)

In this chapter I look at some questions around the notion of experimentation in philosophy, science, and the arts, through the thought of Gaston Bachelard and Gilles Deleuze. My argument is articulated around three areas of enquiry – Bachelard’s work on the experimental sciences, Deleuze’s notion of philosophy as an experimental practice, and recent musicological debate around the practical and political stakes of the term ‘experimental music’. By drawing together these three senses of experimentation, I test the possibilities of understanding (...) experimentation as a transdisciplinary concept and/or method. I develop a notion of experimentation as open, fluid, and non-hierarchical, but also consider points where such an idea is short-circuited by the reassertion of disciplinary closure and more top-down forms of method. My frame for discussing this question is a commonly posited distinction between the experiment and the experimental. Here the experiment is something like a controlled and closed environment in which a privileged observer tests predefined hypotheses, while the experimental concerns attempts to relinquish such control and to produce contexts in which the unknown and the unexpected can arise. By turning to Bachelard’s studies of the practice of science, I will question the common conception of a disciplinary split between the experiments of science and experimental art, showing both how such a distinction cannot be so neat and how these terms are often not easily separable. Putting this notion into conjunction with recent critical discourse on experimentation in music, namely regarding the kinds of exclusions and closures that the term ‘experimental music’ has produced, and with Deleuze’s criticisms of scientific method as well as the apparent disciplinary closure of his transdisciplinary project that is present and his and Félix Guattari’s final work, What is Philosophy?, I argue that refining our understanding of experimentation as a pluralistic and fragile concept will help us engage with the difficulties raised in these fields. More generally I point towards a project of mapping out the diverse and divergent relations that a transdisciplinary understanding of experimentation may draw between philosophy, science, and art. (shrink)

This paper is concerned with the aesthetic and discursive gap between music and contemporary art, and the recent attempts to remedy this in the field of New Music through a notion of “New Conceptualism.” It examines why, despite musical sources being central to the emergence of conceptual artistic strategies in the 1950s and ’60s, the worlds of an increasingly transmedial “generic art” and music have remained largely distinct. While it takes New Music’s New Conceptualism as its focus, it argues that (...) the perspective on New Music it takes has wider implications in music and art. It begins by defining what exactly “New Music” refers to, and outlines some of the conditions for the recent rise of conceptualism in New Music. It then takes the work of the composer Johannes Kreidler as a key example of some artistic tendencies and theoretical presuppositions in New Conceptualism. Following this it draws on work in the field of sound studies in order to critically examine the theoretical attempt to connect New Music with contemporary art that is found in the notion of “Music in the Expanded Field.” To conclude it offers some reflections on how a more robust conversation between contemporary art and New Music can begin to be conceived. (shrink)

How do reasons combine? How is it that several reasons taken together can have a combined weight which exceeds the weight of any one alone? I propose an answer in mereological terms: reasons combine by composing a further, complex reason of which they are parts. Their combined weight is the weight of their combination. I develop a mereological framework, and use this to investigate some structural views about reasons, the main two being "Atomism" and "Holism". Atomism is the view that (...) atomic reasons are fundamental: all reasons reduce to atomic reasons. Holism is the view that whole reasons are fundamental. I argue for Holism, and against Atomism. I also consider whether reasons might be "context-sensitive". (shrink)

I propose in this text a rhythmic theory of signs drawn from the thought of Gilles Deleuze and Félix Guattari. I name this theory a semiorhythmology. I suggest that the theory of rhythm developed in A Thousand Plateaus (1980) can be understood, in part, as the culmination of the diverse set of inquiries into signs that both Deleuze and Guattari undertook, individually and together, beginning in the 1960s. I first outline Deleuze’s theory of signs as a theory of encounter as (...) developed in Proust and Signs (1964) and Difference and Repetition (1968), following which I sketch Guattari’s engagements with signs and semiotics throughout the 1960s and 1970s, particularly through his notion of “a-signifying semiotics” and the concept of the “diagram” he adapts from the semiotics of Charles Sanders Peirce. I close by showing how these heterogeneous theories of the sign are drawn together in A Thousand Plateaus through the Spinozist reading of the ethology of Jakob von Uexküll and the theorisation of rhythm in the form of the refrain. (shrink)

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

Famous examples of conceivability arguments include (i) Descartes’ argument for mind-body dualism, (ii) Kripke's ‘modal argument’ against psychophysical identity theory, (iii) Chalmers’ ‘zombie argument’ against materialism, and (iv) modal versions of the ontological argument for theism. In this paper, we show that for any such conceivability argument, C, there is a corresponding ‘mirror argument’, M. M is deductively valid and has a conclusion that contradicts C's conclusion. Hence, a proponent of C—henceforth, a ‘conceivabilist’—can be warranted in holding that C's premises (...) are conjointly true only if she can find fault with one of M's premises. But M's premises are modelled on a pair of C's premises. The same reasoning that supports the latter supports the former. For this reason, a conceivabilist can repudiate M's premises only on pain of severely undermining C's premises. We conclude on this basis that all conceivability arguments, including each of (i)–(iv), are fallacious. (shrink)

Moss (2018) argues that rational agents are best thought of not as having degrees of belief in various propositions but as having beliefs in probabilistic contents, or probabilistic beliefs. Probabilistic contents are sets of probability functions. Probabilistic belief states, in turn, are modeled by sets of probabilistic contents, or sets of sets of probability functions. We argue that this Mossean framework is of considerable interest quite independently of its role in Moss’ account of probabilistic knowledge or her semantics for epistemic (...) modals and probability operators. It is an extremely general model of uncertainty. Indeed, it is at least as general and expressively powerful as every other current imprecise probability framework, including lower probabilities, lower previsions, sets of probabilities, sets of desirable gambles, and choice functions. In addition, we partially answer an important question that Moss leaves open, viz., why should rational agents have consistent probabilistic beliefs? We show that an important subclass of Mossean believers avoid Dutch bookability iff they have consistent probabilistic beliefs. (shrink)

The counterfactual account of physical computation is simple and, for the most part, very attractive. However, it is usually thought to trivialize the notion of physical computation insofar as it implies ‘limited pancomputationalism’, this being the doctrine that every deterministic physical system computes some function. Should we bite the bullet and accept limited pancomputationalism, or reject the counterfactual account as untenable? Jack Copeland would have us do neither of the above. He attempts to thread a path between the two horns (...) of the dilemma by buttressing the counterfactual account with extra conditions intended to block certain classes of deterministic physical systems from qualifying as physical computers. His theory is called the ‘algorithm execution account’. Here we show that the algorithm execution account entails limited pancomputationalism, despite Copeland’s argument to the contrary. We suggest, partly on this basis, that the counterfactual account should be accepted as it stands, pancomputationalist warts and all. (shrink)

This article concerns the so-called irrigation system in the Timaeus' biology (77a–81e), which replenishes our body’s tissues with resources from food delivered as blood. I argue that this system functions mainly by the natural like-to-like motion of the elements and that the circulation of blood is an important case study of Plato’s physics. We are forced to revise the view that the elements attract their like. Instead, similar elements merely tend to coalesce with each other in virtue of their tactile (...) features as the atomists describe. The notion of attraction is replaced with this notion of mere coalescence. I begin by outlining how blood is made from food. I then argue that an understanding of health and disease compels us to read Plato as if he were an atomist and to abandon the popular scholarly interpretations according to which the elements attract each other. (shrink)

Fourteen philosophers share their experience teaching Peirce to undergraduates in a variety of settings and a variety of courses. The latter include introductory philosophy courses as well as upper-level courses in American philosophy, philosophy of religion, logic, philosophy of science, medieval philosophy, semiotics, metaphysics, etc., and even an upper-level course devoted entirely to Peirce. The project originates in a session devoted to teaching Peirce held at the 2007 annual meeting of the Society for the Advancement of American Philosophy. The session, (...) organized by James Campbell and Richard Hart, was co-sponsored by the American Association of Philosophy Teachers. (shrink)

In this article I address some questions concerning the emerging conjunction of musical research on improvisation and work in the ‘posthumanities’, in particular the theoretical results of the ‘ontological turn’ in the humanities. Engaging with the work of the composer John Cage, and George E. Lewis’s framing of Cage’s performative indeterminacy as a ‘Eurological’ practice that excludes ‘Afrological’ jazz improvisation, I examine how critical discourse on Cage and his conception of sound is relevant to the improvisation-posthumanities conjunction. After discussing some (...) criticisms of ontological and materialist approaches to sound, I consider the Actor-Network Theory (ANT) of Bruno Latour, posed as offering an alternative to these approaches. Following an examination of some limitations to ANT based around the themes of critique and abstraction, I draw from the work of Gilles Deleuze and Georgina Born to suggest that work on improvisation and the posthumanities may be fruitful, but must be part of a pluralistic mode of inquiry that does not reject critique and abstraction, as some work in the posthumanities has done. (shrink)

Rhythm is generally taken to refer to a temporal pattern of events. Yet in recent years, across diverse fields in the arts, humanities, and social sciences, it has come to serve as the conceptual marker for a wide range of new approaches to understanding relations and relationality, following most explicitly from the late work of Henri Lefebvre. This article explores the temporal aspect of such relational thinking, in particular asking how time is implicated in relations, and how it can be (...) meaningful in those relations. The sense of time is surveyed from the perspectives of both cognition and metaphysics as well as with reference to music scholarship and social theory, and key threads are drawn, from the writings of Gaston Bachelard and Charles Sanders Peirce in particular, in order to suggest that time can be a sign, and that the signifying properties of rhythm have critical social consequences. (shrink)

Are the methods of synthetic biology capable of recreating authentic living members of an extinct species? An analogy with the restoration of destroyed natural landscapes suggests not. The restored version of a natural landscape will typically lack much of the aesthetic value of the original landscape because of the different historical processes that created it—processes that involved human intentions and actions, rather than natural forces acting over millennia. By the same token, it would appear that synthetically recreated versions of extinct (...) natural organisms will also be less aesthetically valuable than the originals; that they will be, in some strong sense, ‘inauthentic’, because of their peculiar history and mode of origin. I call this the ‘genesis argument’ against de-extinction. In this article I critically evaluate the genesis argument. I highlight an important disanalogy between living organisms and natural landscapes: viz., it is of the essence of the former, but not of the latter, to regularly reproduce and die. The process of iterated natural reproduction that sustains the continued existence of a species through time obviously does not undermine the authenticity of the species. I argue that the authenticity of a species will likewise be left intact by the kind of artificial copying of genes and traits that a de-extinction project entails. I conclude on this basis that the genesis argument is unsound. (shrink)

When beginning to think about the relation between experimental music and the thought of Gilles Deleuze, this quotation seems to be a natural starting point. In Deleuze and Guattari’s affirmation of this phrase from John Cage they suggest a resonance between music and philosophy: in both fields the experimental approach entails a dismantling of predetermining codes and hierarchies, and with this arises the opportunity for an open-endedness that accommodates singular events and encounters. This understanding of experimentation, however, is not as (...) transparent as it seems. In the context of the uptake and critique of Deleuzian ideas in the theorisation of music and sound, as well as recent re-evaluations of the milieu of “experimental music,” critics have argued that a range of normative demands, ideological assumptions, and metaphysical reductions undermine the purported freedoms of both Cagean and Deleuzian experimentalism. -/- Here I can only deal with a small aspect of the wide historical and theoretical problem this involves; but in short my aim is to begin to construct a means through which Deleuze and Guattari’s thought can be used to help us examine some strategies that composers and performers in post-Cagean musical experimentalism developed to navigate around the demands, assumptions, and reductions of Cage’s thought. (shrink)

"We wish this volume to be a sure companion to the study of free will, broadly construed to include action theory, moral and legal responsibility, and cohort studies feathering off into adjacent fields in the liberal arts and sciences. In addition to general coverage of the discipline, this volume attempts a more challenging and complementary accompaniment to many familiar narratives about free will. In order to map out some directions such accompaniment will take, in this introduction we anchor the thirty (...) contributions to this volume in some common history from which they arise, and attempt to indicate where future work in free will and moral responsibility will–and has already begun to–depart from that history." -Excerpt from Introduction. ... ... To read full introduction, (1) download attached file or (2) follow wiley_dot_com link below, click "Read An Excerpt", then click :Excerpt 3:(pdf)". (shrink)

In this paper I offer a model-theoretic interpretation of Autonomy Theory as defended by Moreno, Mossio, Montévil and Bich. I address accusations that Autonomy Theory is excessively liberal, such as those made by Garson (2017), arguing that these misunderstand the role of strategic abstractions and generalizations in theory construction. Conceiving of closure of constraints as a model-building effort that emphasizes generality – in the spirit of Levins (1966) – also clarifies its potential for application in empirical contexts.

This article is concerned with the status and stakes of Gilles Deleuze’s “break” with structuralism. With a particular focus on a transitional text of Deleuze, the 1967/1972 article “How Do We Recognize Structuralism?,” it asks how Deleuze understood structuralism and why, after his encounter with Félix Guattari and Guattari’s own transitional text, 1969’s “Machine and Structure,” Deleuze felt the need to break with structuralism. It argues that reading these two texts together allows us to see that Deleuze already perceived tensions (...) within the structuralist project, and argues that Guattari’s non-structural account of the machine allowed Deleuze to clarify this perception, and see it as necessitating a departure from structuralism. To close, however, it turns to recent work by philosophers such as Étienne Balibar and Patrice Maniglier that re-examines the structuralist moment and identifies an ongoing legacy that the “poststructuralism” of Deleuze and Guattari may be part of. By considering Deleuze and Guattari’s break with structuralism in light of this work, this article considers how the polemical rejection of structuralism by Deleuze and Guattari may not fully account for the ongoing legacy of the structuralist program and the persistence of a structuralist problematic in their thought. (shrink)

David Lewis describes, then attempts to refute, a simple anti-Humean theory of desire he calls ‘Desire as Belief’. Lewis’ critics generally accept that his argument is sound and focus instead on trying to show that its implications are less severe than appearances suggest. In this paper I argue that Lewis’ argument is unsound. I show that it rests on an essential assumption that can be straightforwardly proven false using ideas and principles to which Lewis is himself committed.

In a recent article, Matej Cíbik claims that some tattoos are immoral because they are imprudent. (Cíbik 2020) In response, I argue that a tattoo can only be immoral if it causes harm to a third party, so that no tattoo is immoral simply because it is reckless. Conflating prudential and moral requirements in the way that Cíbik does would strike at the heart of liberalism, and has deeply counter-intuitive consequences, as we can see when we consider Cíbik's own discussions (...) of suicidal individuals and smokers. After discussing the role of the self/other distinction in liberal moral philosophy, I affirm both the moral neutrality of tattoos and the importance of adopting non-judgemental attitudes towards the choices which a person makes concerning her own body. (shrink)

This paper concerns the three great modal dichotomies: (i) the necessary/contingent dichotomy; (ii) the a priori/empirical dichotomy; and (iii) the analytic/synthetic dichotomy. These can be combined to produce a tri-dichotomy of eight modal categories. The question as to which of the eight categories house statements and which do not is a pivotal battleground in the history of analytic philosophy, with key protagonists including Descartes, Hume, Kant, Kripke, Putnam and Kaplan. All parties to the debate have accepted that some categories are (...) void. This paper defends the contrary view that all eight categories house statements—a position I dub ‘octopropositionalism’. Examples of statements belonging to all eight categories are given. (shrink)

Veblen's concept of conspicuous consumption, although widely known and commonly invoked, has rarely been examined critically; the associated "theory" has never been tested. It is suggested that the reason for this lies in the difficulty of determining the criterion that defines the phenomenon, a difficulty that derives from Veblen's failure to integrate two contrasting conceptual formulations. These are, first, an interpretive or subjective version that conceives of conspicuous consumption as action marked by the presence of certain intentions, purposes, or motives, (...) and second, a functionalist formulation in which conspicuous consumption is viewed as a form of behavior characterized by particular end results or outcomes. Consideration of each of these strands reveals major difficulties that prevent the construction of an operational definition of conspicuous consumption and hence the extraction of a workable theory from Veblen's discussion. (shrink)

It is often argued that the indispensability of continuum models comes from their empirical adequacy despite their decoupling from the microscopic details of the modelled physical system. There is thus a commonly held misconception that temperature varying across a region of space or time can always be accurately represented as a continuous function. We discuss three inter-related cases of temperature modelling — in phase transitions, thermal boundary resistance and slip flows — and show that the continuum view is fallacious on (...) the ground that the microscopic details of a physical system are not necessarily decoupled from continuum models. We show how temperature discontinuities are present in both data (experiments and simulations) and phenomena (theory and models) and how discontinuum models of temperature variation may have greater empirical adequacy and explanatory power. The conclusions of our paper are: a) continuum idealisations are not indispensable to modelling physical phenomena and both continuous and discontinuous representations of phenomena work depending on the context; b) temperature is not necessarily a continuously defined function in our best scientific representations of the world; and c) that its continuity, where applicable, is a contingent matter. We also raise a question as to whether discontinuous representations should be considered truly de-idealised descriptions of physical phenomena. (shrink)

I present a possible worlds semantics for a hyperintensional belief revision operator, which reduces the logical idealization of cognitive agents affecting similar operators in doxastic and epistemic logics, as well as in standard AGM belief revision theory. (Revised) belief states are not closed under classical logical consequence; revising by inconsistent information does not perforce lead to trivialization; and revision can be subject to ‘framing effects’: logically or necessarily equivalent contents can lead to different revisions. Such results are obtained without resorting (...) to non-classical logics, or to non-normal or impossible worlds semantics. The framework combines, instead, a standard semantics for propositional S5 with a simple mereology of contents. (shrink)

This is an impressive and important book about perception in Plato’s Timaeus, but most of its readers will probably be researchers who are interested in much broader questions about the dialogue. There is nothing deficient or lacking about this treatment of perception, but this book should be put alongside Thomas Johansen’s Plato’s Natural Philosophy and Sarah Broadie’s Nature and Divinity in the sense that this is, for all intents and purposes, a monograph about the whole Timaeus, even though it is (...) pitched as being focused on perception. There are only a few topics missing, such as the nature of the cosmic receptacle and psychic diseases. Virtually everything else, including the status of Timaeus’ so-called likely story, the generation of the lower gods, and the nature of bone, is discussed at length. (shrink)